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sergejj [24]
2 years ago
6

If the following system of equations was written as a matrix equation in the form AX = C,? and matrix A was expressed in the for

m, a=[a c] [b d] find the value of a - b + c + d. 5x+7y=7 3x-2y=9​
Mathematics
1 answer:
Tomtit [17]2 years ago
3 0

The value of the expression a - b + c + d will be 7.

<h3>What is the matrix?</h3>

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.

The system of equations are given below.

5x + 7y = 7

3x - 2y = 9​

Then the equations can be written in the form of matrix. Then we have

\begin{bmatrix}5 & 7 \\3 & -2 \\\end{bmatrix} \begin{bmatrix}x \\y \\\end{bmatrix} = \begin{bmatrix}7 \\9 \\\end{bmatrix}

Then the value of a, b, c, and d will be

a = 5, b = 3, c = 7, and d = -2

Then  the value of the expression will be

a - b + c + d = 5 - 3 + 7 - 2

a - b + c + d = 12 - 5

a - b + c + d = 7

More about the matrix link is given below.

brainly.com/question/9967572

#SPJ1

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Answer:

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Solve the system.<br> 2x+y = 3<br> -2y = 14 - 6x
bezimeni [28]

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Step-by-step explanation:

First we rewrite the second system equation

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--------------------------------------

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Look at the figure XYZ in the coordinate plane. Find the perimeter of the figure rounded to the nearest tenth.
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\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ X(\stackrel{x_1}{-6}~,~\stackrel{y_1}{2})\qquad Z(\stackrel{x_2}{5}~,~\stackrel{y_2}{8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ XZ=\sqrt{[5-(-6)]^2+[8-2]^2}\implies XZ=\sqrt{(5+6)^2+(8-2)^2} \\\\\\ XZ=\sqrt{121+36}\implies \boxed{XZ=\sqrt{157}} \\\\[-0.35em] ~\dotfill

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ Z(\stackrel{x_2}{5}~,~\stackrel{y_2}{8})\qquad Y(\stackrel{x_2}{8}~,~\stackrel{y_2}{2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ ZY=\sqrt{(8-5)^2+(2-8)^2}\implies ZY=\sqrt{9+36}\implies \boxed{ZY=\sqrt{45}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{perimeter}{14+\sqrt{157}+\sqrt{45}}\qquad \approx \qquad 33.2

6 0
3 years ago
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